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Finding the Third Proportional to 26,232 and 41,558

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Solution

The third proportional to 26,232 and 41,558 is: 65,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,232 : 41,558 = 41,558 : x
  2. Step 2: Convert to fraction form
    26,232/41,558 = 41,558/x
  3. Step 3: Cross multiply
    26,232x = 41,558 × 41,558
  4. Step 4: Simplify right side
    26,232x = 1,727,067,364
  5. Step 5: Solve for x
    x = 1,727,067,364/26,232
  6. Step 6: Final answer
    x = 65,838.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.